Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 580/909,4834/600
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 580,4834
Greatest Common Factor of Numerators i.e. GCF of 580,4834 is 2 .
LCM of Denominators means LCM of 909,600 as per the given fractions.
LCM of 909,600 is 181800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 580,4834
2 | 580, 4834 |
290, 2417 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 4834
List of positive integer factors of 4834 that divides 4834 without a remainder.
1,2,2417,4834
Greatest Common Factor
We found the factors 580,4834 . The biggest common factor number is the GCF number.
So the greatest common factor 580,4834 is 2.
Lets's calculate LCM of 909,600
3 | 909, 600 |
303, 200 |
∴ So the LCM of the given numbers is 3 x 303 x 200 = 181800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181800
Therefore, the GCF of Fractions 580/909,4834/600 is 2/181800
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 909,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,600) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(909,600) x common factors =3 x 1 = 3
LCM(909,600) = ( 909 × 600 ) / 3
LCM(909,600) = 545400 / 3
LCM(909,600) = 181800
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 580/909, 4834/600?
Answer: GCF of Numerators as per given numbers 580/909, 4834/600 is
GCF of Numerators i.e. for 580,4834 is 2
LCM of denominators i.e. for 909,600 is 181800.
Thus, GCF of Fractions is 2/181800.Finally, GCF of Fractions for 580/909, 4834/600 is 2/181800.